利用KK M型引理，研究了在一般拓扑向量空间中的广义向量平衡问题解的存在性问题。

Based on KKM technique, the existence of solution to a generalized vector equilibrium problem is studied.

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介绍了对称广义拟向量平衡问题，并且通过非线性纯量函数，利用不动点定理，证明了对称广义拟向量平衡问题解的存在性定理。

In this thesis, the definitions of Levitin-Polyak well-posedness are extended to vector equilibrium problems and two classes of generalized vector quasi-equilibrium problems.

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介绍了对称广义拟向量平衡问题，并且通过非线性纯量函数，利用不动点定理，证明了对称广义拟向量平衡问题解的存在性定理。

In this thesis, the definitions of Levitin-Polyak well-posedness are extended to vector equilibrium problems and two classes of generalized vector quasi-equilibrium problems.

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